Answer:
a
The null hypothesis is 
The alternative hypothesis is 
b

c

d
The decision rule is
Reject the null hypothesis
e
There is sufficient evidence to support the researchers claim
Step-by-step explanation:
From the question we are told that
The first sample size is 
The sample variance for elementary school is 
The second sample size is 
The sample variance for the secondary school is 
The significance level is 
The null hypothesis is 
The alternative hypothesis is 
Generally from the F statistics table the critical value of
at first and second degree of freedom
and
is

Generally the test statistics is mathematically represented as

=> 
=> 
Generally from the value obtained we see that
Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to support the researchers claim